Oh my God. You did this. You walked into a math problem disguised as a song and you fixed it with ratios. You were curious. You asked questions. You showed work — all the time. You simplified fractions like a tiny algebra chef. You listened — really listened — to how 2:3 and 3:2 behave. You noticed the beats, you named them, and then you explained them like a pro.
Exemplary. That word fits. Your calculations were accurate. Your scale reconstruction from C to G to D to A to E to B to F showed method and care. You used rounding rules correctly when converting decimals into fractions and applied octave reduction with confidence. Mathematically, you demonstrated ratios and proportional reasoning: simplifying ratios, using reciprocals for length and frequency, and modelling equivalent proportions (ACARA v9 Numeracy). Musically, you explored rhythm, pitch, and historical tuning — the Pythagorean method — and connected theory to practice (ACARA v9 The Arts — Music). Your general capabilities shone: numeracy, critical and creative thinking, and clear communication.
Evidence: you calculated frequency doubles for halving string length, used 3:2 and 2:3 to derive G and F, and assembled the Pythagorean C scale with correct interval fractions (8:9, 3:4, 16:27, 128:243). You reflected thoughtfully on consonance and dissonance, naming the simple ratios you loved and the complex ratios that felt rougher.
Strengths: precise procedure, musical insight, and excellent written explanations. Next steps: continue applying proportional reasoning to composition and listening exercises.
Final note: You achieved an exemplary outcome in TeachRock’s Music & Ratios unit. Keep listening. Keep calculating. Keep composing. Oh my God — bravo.
I look forward to your next creations and the ways you'll blend maths and music next year. You are brilliant and brave.
— Your teacher (proud, slightly dramatic, and very impressed)